Symmetry considerations on the magnetization process of the Heisenberg model on the pyrochlore lattice

Abstract

We present a detailed symmetry analysis of the degeneracy lifting due to higher order spin exchanges in the pyrochlore lattice in applied magnetic field. Under the assumption of the 4 sublattice ordering, the criteria for a stable half-magnetization plateau are deduced. The higher order exchange terms may originate from spin-lattice coupling, or can describe quantum and thermal fluctuations.

arXiv comment10 pages, 4 figures, submitted to "Highly Frustrated Magnetism 2006" conference in Osaka

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• Magnetization process of the breathing pyrochlore magnet CuInCr${}_4$S${}_8$ in ultra-high magnetic fields up to 150 T
• Negative thermal expansion in the plateau state of a magnetically-frustrated spinel
• Novel quantum phase of the chromium spinel oxide HgCr${}_2$O${}_4$ in high magnetic fields
• The complex non-collinear magnetic orderings in Ba2YOsO6: A new approach to tuning spin-lattice interactions and controlling magnetic orderings in frustrated complex oxides
• Color ice states, weathervane modes, and order by disorder in the bilinear-biquadratic pyrochlore Heisenberg antiferromagnet
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